Effect of optical system and turbulent atmosphere on the average intensity of partially coherent flat-topped vortex hollow beam

Based on the extended Huygens-Fresnel diffraction integral formula, the average intensity of partially coherent flat-topped vortex hollow beam propagating through the paraxial ABCD optical system in atmosphere turbulence are investigated by using the numerical examples. The influences of optical system parameters, coherence length, parameters of turbulent atmosphere, beam order N and topological charge M of laser beam on the average intensity of partially coherent flat-topped vortex hollow beam are analyzed. Results show that the beam will evolve into Gauss-like beam in the far field with the propagation distance increasing, and the beam will evolve into Gauss-like beam more rapidly with the increasing of the structure constant of turbulent atmosphere or the decreasing of coherence length. The results of this work have the potential applications in free space optical communication.